Answer:
x = 1 y = 8/3
Step-by-step explanation:
You can use the substitution method to solve this.
Solve for x on the second term by subtracting 3y from both sides to isolate x on the left side.
x = - 3y + 9
Now you know what x is equal to. Next, substitute x = - 3y + 9 into the first equation for every x.
2(-3y+9) + 3y = 10
-6y + 18 + 3y = 10
- 3y + 18 = 10
- 3y = - 8
y = 8/3
Now that we know the value of y we can put it into either of the two equations to find x. Let's put it into the 2nd equation.
x + 3(8/3) = 9
x + 8 = 9
x = 1
Another way to do this is the elimination method.
Notice that both equations have 3y.
2x + 3y = 10
x + 3y = 9
Now, let's subtract the equation x + 3y = 9 from 2x + 3y = 10.
2x + 3y = 10
- (x+ 3y) = - (9)
On the left side,
2x + 3y - x - 3y = x
On the right side,
10 - 9 = 1.
So, x = 1.
Now put this value into the equation and solve for y. You will get the same answer no matter which method is used.
